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Solve the integral of logarithmic functions $\int x^3\ln\left(x^3\right)dx$

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tan
cot
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acos
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acosh
atanh
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asech
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Worked example: problem involving definite integral (algebraic) | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=vYix-RPhT64

Using one to one property to solve logarithmic equation

https://www.youtube.com/watch?v=9aCtoIRZWBU

Finding the domain vertical asymptote and x intercepts of a logarithm

https://www.youtube.com/watch?v=k36n5uACiac

How to find the solutions when solving a logarithmic equation

https://www.youtube.com/watch?v=JrivLbx0o50

Analyzing problems involving definite integrals | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=U4dtruMdQ7Y

Tutoring Session - Solving when you have a log on both sides

https://www.youtube.com/watch?v=bwEwE8Abga4

Function Plot

Plotting: $\frac{3}{4}x^{4}\ln\left|x\right|+\frac{-3x^{4}}{16}+C_0$

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Integrals involving Logarithmic Functions

They are those integrals where the function that we are integrating is composed only of combinations of logarithmic functions.

Used Formulas

See formulas (3)

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